Second-Order Parametric Free Dualities for Complex Minimax Fractional Programming
In this paper, we will consider a minimax fractional programming in complex spaces. Since a duality model in a programming problem plays an important role, we will establish the second-order Mond−Weir type and Wolfe type dual models, and derive the weak, strong, and strictly converse duali...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-01-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/8/1/67 |
| _version_ | 1818284149124890624 |
|---|---|
| author | Tone-Yau Huang |
| author_facet | Tone-Yau Huang |
| author_sort | Tone-Yau Huang |
| collection | DOAJ |
| description | In this paper, we will consider a minimax fractional programming in complex spaces. Since a duality model in a programming problem plays an important role, we will establish the second-order Mond−Weir type and Wolfe type dual models, and derive the weak, strong, and strictly converse duality theorems. |
| first_indexed | 2024-12-13T00:48:12Z |
| format | Article |
| id | doaj.art-d2f1bcfba22d4e5796d42aa46a75af64 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-13T00:48:12Z |
| publishDate | 2020-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d2f1bcfba22d4e5796d42aa46a75af642022-12-22T00:04:59ZengMDPI AGMathematics2227-73902020-01-01816710.3390/math8010067math8010067Second-Order Parametric Free Dualities for Complex Minimax Fractional ProgrammingTone-Yau Huang0Department of Applied Mathematics, Feng-Chia University, Tai-Chung 40724, TaiwanIn this paper, we will consider a minimax fractional programming in complex spaces. Since a duality model in a programming problem plays an important role, we will establish the second-order Mond−Weir type and Wolfe type dual models, and derive the weak, strong, and strictly converse duality theorems.https://www.mdpi.com/2227-7390/8/1/67minimax fractional programmingduality theoremsgeneralized convexity |
| spellingShingle | Tone-Yau Huang Second-Order Parametric Free Dualities for Complex Minimax Fractional Programming Mathematics minimax fractional programming duality theorems generalized convexity |
| title | Second-Order Parametric Free Dualities for Complex Minimax Fractional Programming |
| title_full | Second-Order Parametric Free Dualities for Complex Minimax Fractional Programming |
| title_fullStr | Second-Order Parametric Free Dualities for Complex Minimax Fractional Programming |
| title_full_unstemmed | Second-Order Parametric Free Dualities for Complex Minimax Fractional Programming |
| title_short | Second-Order Parametric Free Dualities for Complex Minimax Fractional Programming |
| title_sort | second order parametric free dualities for complex minimax fractional programming |
| topic | minimax fractional programming duality theorems generalized convexity |
| url | https://www.mdpi.com/2227-7390/8/1/67 |
| work_keys_str_mv | AT toneyauhuang secondorderparametricfreedualitiesforcomplexminimaxfractionalprogramming |